Recent research has explored the efficacy of the CRA-I (concrete-representational-abstract) strategy with students with disabilities (Strickland & Maccini, 2012, 2013). The CRA-I strategy is a promising practice that special educators have used to teach algebra to students with high-incidence disabilities. The CRA-I strategy is a modification…

This paper is part two of the article entitled, "Dynamic Neuroscientific Systemology: Using Tri-Squared Meta-Analysis and Innovative Instructional Design to Develop a Novel Distance Education Model for the Systemic Creation of Engaging Online Learning Environments" published in the July-September 2015 issue of i-manager's "Journal…

In undergraduate mathematics education, atypical problem solving approaches are usually discouraged because they are not adaptive to systematic deduction on which undergraduate instructional systems are predicated. I present preliminary qualitative research evidence that indicates that these atypical approaches, such as genetic guessing, which…

The language that students use with whole numbers can be insufficient when learning integers. This is often the case when children interpret addition as "getting more" or "going higher." In this study, we explore whether instruction on mapping directed magnitudes to operations helps 88 second graders and 70 fourth graders solve…

In this paper we report the results obtained when implementing Activities related to the visualization of geometric representations in paper-and-pencil and technological environments with students1 grade 11. This is a qualitative research supported by both the representation theory and the visualization of mathematical objects using technological…

The purpose of this study was to examine the ways that teachers use Connected Classroom Technology (CCT) to potentially support achievement on translation problems that require moving between algebraic representations. Four mathematics classrooms were chosen based on their gain scores on pre- and post-test Algebraic translation problems. Two…

In this paper I describe classroom experiences with pre-service secondary mathematics teachers (PSMTs) investigating and extending patterns embedded in the Pythagorean configuration. This geometric figure is a fruitful source of mathematical tasks to help students, including PSMTs, further develop habits of mind such as visualization,…

In order to investigate how teachers' use of textbooks creates different kinds of opportunities for student learning, this study focused on teachers' selection and enactment of problems and tasks from the textbooks and their influence on the cognitive demand placed on students. By drawing on data from three elementary teachers in the USA, two of…

The purpose of this research was to determine how information synthesis skills can be taught effectively, and to discover how the level of synthesis in student writing can be effectively measured. The intervention was an information synthesis lesson that broke down the synthesis process into sequenced tasks. Researchers created a rubric which they…

Research has found that students, particularly those in middle school and high school, believe that their participation in mathematics classrooms includes listening to teachers explaining, working in textbooks, and solving exercise problems quickly (Franke, Kazemi, and Battey 2007). In this article, the authors describe a classroom vignette and…

Studies of mathematics teacher preparation frequently lament the divide between the more theoretically based university methods course and the practically grounded classroom field experience. In many instances, attempts to mediate this gap involve creating hybrid or third spaces, which seek to dissipate the differences in knowledge status as…

Improving student learning is the primary goal of every teacher of algebra. Teachers seek strategies to help all students learn important algebra content and develop mathematical practices. The new Institute of Education Sciences[IES] practice guide, "Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students"…

Erroneous examples--step-by-step problem solutions with one or more errors for students to find and fix--hold great potential to help students learn. In this study, which is a replication of a prior study (Adams et al. 2014), but with a much larger population (390 vs. 208), middle school students learned about decimals either by working with…

Background: The interactive nature of the teaching process is built on a social relationship between teachers and students. Conflicts in the relationship between students and teachers may occur for a several reasons. Effective and constructive management of conflict can decrease its negative effects on the learning environment, students, and…

The article describes the development of a new approach to teach molecular biology to undergraduate biology students. The 34 students who participated in this research belonged to the first period of the Biological Sciences teaching course of the Instituto Federal Goiano at Urutaí Campus, Brazil. They were registered in Cell Biology in the first…